Fractional Differential Equations: Theory, Methods and Applications

Fractional Differential Equations: Theory, Methods and Applications

Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and...

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Bibliographic Details
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
?-fractional derivative
b-vex functions
Caputo Operator
conformable double Laplace decomposition method
conformable fractional derivative
conformable Laplace transform
conformable partial fractional derivative
controllability and observability Gramians
Convex Functions
delay differential system
delays
dependence on a parameter
distributed delays
energy inequality
existence and uniqueness
fixed point index
fixed point theorem on mixed monotone operators
fountain theorem
fractional p-Laplacian
fractional q-difference equation
fractional thermostat model
fractional wave equation
fractional-order neural networks
fractional-order system
generalized convexity
Hermite-Hadamard's Inequality
impulses
initial boundary value problem
integral conditions
Jenson Integral Inequality
Kirchhoff-type equations
Laplace Adomian Decomposition Method (LADM)
Lyapunov functions
Mittag-Leffler synchronization
model order reduction
modified functional methods
Moser iteration method
Navier-Stokes equation
nonlinear differential system
oscillation
positive solution
positive solutions
Power-mean Inequality
Razumikhin method
Riemann-Liouville Fractional Integration
singular one dimensional coupled Burgers' equation
sub-b-s-convex functions
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